Question

A builder uses the function g defined by g(x) = 80x + 10,000 to estimate the
cost g(x), in dollars, to build a one-story home of planned floor area of x square
feet. If the builder estimates that the cost to build a certain one-story home is
$106,000, what is the planned floor area, in square feet, of the home?

Answer 1

Answer:

1200 square feet

Explanation:

substitute $106,000 for g(x) and solve for x

Answer 2

The planned floor area (x) of the home is 1200 square feet.

What is the function of g(x)?

The function of g(x) in a function is assigned to an operation that has an equation to form another new function.

From the given information:

g(x) = 80x + 10,000

where;

• g(x) = cost to build one-story home = $106000

Thus;

106000 = 80x + 10,000

106000 - 10000 = 80x

80x = 96000

x = 96000/80

x = 1200

Learn more about the function of g(x) here:

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